SecT233K1Point.cs 8.8 KB

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  1. #if !BESTHTTP_DISABLE_ALTERNATE_SSL && (!UNITY_WEBGL || UNITY_EDITOR)
  2. #pragma warning disable
  3. using System;
  4. namespace BestHTTP.SecureProtocol.Org.BouncyCastle.Math.EC.Custom.Sec
  5. {
  6. internal class SecT233K1Point
  7. : AbstractF2mPoint
  8. {
  9. /**
  10. * @deprecated Use ECCurve.createPoint to construct points
  11. */
  12. public SecT233K1Point(ECCurve curve, ECFieldElement x, ECFieldElement y)
  13. : this(curve, x, y, false)
  14. {
  15. }
  16. /**
  17. * @deprecated per-point compression property will be removed, refer {@link #getEncoded(bool)}
  18. */
  19. public SecT233K1Point(ECCurve curve, ECFieldElement x, ECFieldElement y, bool withCompression)
  20. : base(curve, x, y, withCompression)
  21. {
  22. if ((x == null) != (y == null))
  23. throw new ArgumentException("Exactly one of the field elements is null");
  24. }
  25. internal SecT233K1Point(ECCurve curve, ECFieldElement x, ECFieldElement y, ECFieldElement[] zs, bool withCompression)
  26. : base(curve, x, y, zs, withCompression)
  27. {
  28. }
  29. protected override ECPoint Detach()
  30. {
  31. return new SecT233K1Point(null, this.AffineXCoord, this.AffineYCoord); // earlier JDK
  32. }
  33. public override ECFieldElement YCoord
  34. {
  35. get
  36. {
  37. ECFieldElement X = RawXCoord, L = RawYCoord;
  38. if (this.IsInfinity || X.IsZero)
  39. return L;
  40. // Y is actually Lambda (X + Y/X) here; convert to affine value on the fly
  41. ECFieldElement Y = L.Add(X).Multiply(X);
  42. ECFieldElement Z = RawZCoords[0];
  43. if (!Z.IsOne)
  44. {
  45. Y = Y.Divide(Z);
  46. }
  47. return Y;
  48. }
  49. }
  50. protected internal override bool CompressionYTilde
  51. {
  52. get
  53. {
  54. ECFieldElement X = this.RawXCoord;
  55. if (X.IsZero)
  56. return false;
  57. ECFieldElement Y = this.RawYCoord;
  58. // Y is actually Lambda (X + Y/X) here
  59. return Y.TestBitZero() != X.TestBitZero();
  60. }
  61. }
  62. public override ECPoint Add(ECPoint b)
  63. {
  64. if (this.IsInfinity)
  65. return b;
  66. if (b.IsInfinity)
  67. return this;
  68. ECCurve curve = this.Curve;
  69. ECFieldElement X1 = this.RawXCoord;
  70. ECFieldElement X2 = b.RawXCoord;
  71. if (X1.IsZero)
  72. {
  73. if (X2.IsZero)
  74. {
  75. return curve.Infinity;
  76. }
  77. return b.Add(this);
  78. }
  79. ECFieldElement L1 = this.RawYCoord, Z1 = this.RawZCoords[0];
  80. ECFieldElement L2 = b.RawYCoord, Z2 = b.RawZCoords[0];
  81. bool Z1IsOne = Z1.IsOne;
  82. ECFieldElement U2 = X2, S2 = L2;
  83. if (!Z1IsOne)
  84. {
  85. U2 = U2.Multiply(Z1);
  86. S2 = S2.Multiply(Z1);
  87. }
  88. bool Z2IsOne = Z2.IsOne;
  89. ECFieldElement U1 = X1, S1 = L1;
  90. if (!Z2IsOne)
  91. {
  92. U1 = U1.Multiply(Z2);
  93. S1 = S1.Multiply(Z2);
  94. }
  95. ECFieldElement A = S1.Add(S2);
  96. ECFieldElement B = U1.Add(U2);
  97. if (B.IsZero)
  98. {
  99. if (A.IsZero)
  100. return Twice();
  101. return curve.Infinity;
  102. }
  103. ECFieldElement X3, L3, Z3;
  104. if (X2.IsZero)
  105. {
  106. // TODO This can probably be optimized quite a bit
  107. ECPoint p = this.Normalize();
  108. X1 = p.XCoord;
  109. ECFieldElement Y1 = p.YCoord;
  110. ECFieldElement Y2 = L2;
  111. ECFieldElement L = Y1.Add(Y2).Divide(X1);
  112. X3 = L.Square().Add(L).Add(X1);
  113. if (X3.IsZero)
  114. {
  115. return new SecT233K1Point(curve, X3, curve.B, IsCompressed);
  116. }
  117. ECFieldElement Y3 = L.Multiply(X1.Add(X3)).Add(X3).Add(Y1);
  118. L3 = Y3.Divide(X3).Add(X3);
  119. Z3 = curve.FromBigInteger(BigInteger.One);
  120. }
  121. else
  122. {
  123. B = B.Square();
  124. ECFieldElement AU1 = A.Multiply(U1);
  125. ECFieldElement AU2 = A.Multiply(U2);
  126. X3 = AU1.Multiply(AU2);
  127. if (X3.IsZero)
  128. {
  129. return new SecT233K1Point(curve, X3, curve.B, IsCompressed);
  130. }
  131. ECFieldElement ABZ2 = A.Multiply(B);
  132. if (!Z2IsOne)
  133. {
  134. ABZ2 = ABZ2.Multiply(Z2);
  135. }
  136. L3 = AU2.Add(B).SquarePlusProduct(ABZ2, L1.Add(Z1));
  137. Z3 = ABZ2;
  138. if (!Z1IsOne)
  139. {
  140. Z3 = Z3.Multiply(Z1);
  141. }
  142. }
  143. return new SecT233K1Point(curve, X3, L3, new ECFieldElement[] { Z3 }, IsCompressed);
  144. }
  145. public override ECPoint Twice()
  146. {
  147. if (this.IsInfinity)
  148. {
  149. return this;
  150. }
  151. ECCurve curve = this.Curve;
  152. ECFieldElement X1 = this.RawXCoord;
  153. if (X1.IsZero)
  154. {
  155. // A point with X == 0 is its own additive inverse
  156. return curve.Infinity;
  157. }
  158. ECFieldElement L1 = this.RawYCoord, Z1 = this.RawZCoords[0];
  159. bool Z1IsOne = Z1.IsOne;
  160. ECFieldElement Z1Sq = Z1IsOne ? Z1 : Z1.Square();
  161. ECFieldElement T;
  162. if (Z1IsOne)
  163. {
  164. T = L1.Square().Add(L1);
  165. }
  166. else
  167. {
  168. T = L1.Add(Z1).Multiply(L1);
  169. }
  170. if (T.IsZero)
  171. {
  172. return new SecT233K1Point(curve, T, curve.B, IsCompressed);
  173. }
  174. ECFieldElement X3 = T.Square();
  175. ECFieldElement Z3 = Z1IsOne ? T : T.Multiply(Z1Sq);
  176. ECFieldElement t1 = L1.Add(X1).Square();
  177. ECFieldElement t2 = Z1IsOne ? Z1 : Z1Sq.Square();
  178. ECFieldElement L3 = t1.Add(T).Add(Z1Sq).Multiply(t1).Add(t2).Add(X3).Add(Z3);
  179. return new SecT233K1Point(curve, X3, L3, new ECFieldElement[] { Z3 }, IsCompressed);
  180. }
  181. public override ECPoint TwicePlus(ECPoint b)
  182. {
  183. if (this.IsInfinity)
  184. return b;
  185. if (b.IsInfinity)
  186. return Twice();
  187. ECCurve curve = this.Curve;
  188. ECFieldElement X1 = this.RawXCoord;
  189. if (X1.IsZero)
  190. {
  191. // A point with X == 0 is its own additive inverse
  192. return b;
  193. }
  194. // NOTE: TwicePlus() only optimized for lambda-affine argument
  195. ECFieldElement X2 = b.RawXCoord, Z2 = b.RawZCoords[0];
  196. if (X2.IsZero || !Z2.IsOne)
  197. {
  198. return Twice().Add(b);
  199. }
  200. ECFieldElement L1 = this.RawYCoord, Z1 = this.RawZCoords[0];
  201. ECFieldElement L2 = b.RawYCoord;
  202. ECFieldElement X1Sq = X1.Square();
  203. ECFieldElement L1Sq = L1.Square();
  204. ECFieldElement Z1Sq = Z1.Square();
  205. ECFieldElement L1Z1 = L1.Multiply(Z1);
  206. ECFieldElement T = L1Sq.Add(L1Z1);
  207. ECFieldElement L2plus1 = L2.AddOne();
  208. ECFieldElement A = L2plus1.Multiply(Z1Sq).Add(L1Sq).MultiplyPlusProduct(T, X1Sq, Z1Sq);
  209. ECFieldElement X2Z1Sq = X2.Multiply(Z1Sq);
  210. ECFieldElement B = X2Z1Sq.Add(T).Square();
  211. if (B.IsZero)
  212. {
  213. if (A.IsZero)
  214. {
  215. return b.Twice();
  216. }
  217. return curve.Infinity;
  218. }
  219. if (A.IsZero)
  220. {
  221. return new SecT233K1Point(curve, A, curve.B, IsCompressed);
  222. }
  223. ECFieldElement X3 = A.Square().Multiply(X2Z1Sq);
  224. ECFieldElement Z3 = A.Multiply(B).Multiply(Z1Sq);
  225. ECFieldElement L3 = A.Add(B).Square().MultiplyPlusProduct(T, L2plus1, Z3);
  226. return new SecT233K1Point(curve, X3, L3, new ECFieldElement[] { Z3 }, IsCompressed);
  227. }
  228. public override ECPoint Negate()
  229. {
  230. if (this.IsInfinity)
  231. return this;
  232. ECFieldElement X = this.RawXCoord;
  233. if (X.IsZero)
  234. return this;
  235. // L is actually Lambda (X + Y/X) here
  236. ECFieldElement L = this.RawYCoord, Z = this.RawZCoords[0];
  237. return new SecT233K1Point(Curve, X, L.Add(Z), new ECFieldElement[] { Z }, IsCompressed);
  238. }
  239. }
  240. }
  241. #pragma warning restore
  242. #endif